Calculus by Gilbert Strang

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Calculus written by Gilbert Strang, Massachuselts Institute of Technology.

Calculus written by Gilbert Strang cover the following topics.

Introduction to Calculus
Velocity and Distance, Calculus Without Limits, The Velocity at an Instant, Circular Motion, A Review of Trigonometry, A Thousand Points of Light, Computing in Calculus

Derivatives
The Derivative of a Function, Powers and Polynomials, The Slope and the Tangent Line, Derivative of the Sine and Cosine, The Product and Quotient and Power Rules, Limits, Continuous Functions

Applications of the Derivative
Linear Approximation, Maximum and Minimum Problems, Second Derivatives: Minimum vs. Maximum, Graphs, Ellipses, Parabolas, and Hyperbolas, Iterations x,+ ,= F(x,), Newton's Method and Chaos, The Mean Value Theorem and l'H8pital's Rule

The Chain Rule
Derivatives by the Chain Rule, Implicit Differentiation and Related Rates, Inverse Functions and Their Derivatives, Inverses of Trigonometric Functions,

Integrals
The Idea of the Integral, Antiderivatives, Summation vs. Integration, Indefinite Integrals and Substitutions, The Definite Integral, Properties of the Integral and the Average Value, The Fundamental Theorem and Its Consequences, Numerical Integration

Exponentials and Logarithms
An Overview, The Exponential ex, Growth and Decay in Science and Economics, Logarithms, Separable Equations Including the Logistic Equation, Powers Instead of Exponentials, Hyperbolic Functions

Techniques of Integration
Integration by Parts, Trigonometric Integrals, Trigonometric Substitutions, Partial Fractions, Improper Integrals

Applications of the Integral
Areas and Volumes by Slices, Length of a Plane Curve, Area of a Surface of Revolution, Probability and Calculus, Masses and Moments, Force, Work, and Energy

Polar Coordinates and Complex Numbers
Polar Coordinates, Polar Equations and Graphs, Slope, Length, and Area for Polar Curves, Complex Numbers

Infinite Series
The Geometric Series, Convergence Tests: Positive Series, Convergence Tests: All Series, The Taylor Series for ex, sin x, and cos x, Power Series

Vectors and Matrices
Vectors and Dot Products, Planes and Projections, Cross Products and Determinants, Matrices and Linear Equations, Linear Algebra in Three Dimensions

Motion along a Curve
The Position Vector, Plane Motion: Projectiles and Cycloids, Tangent Vector and Normal Vector, Polar Coordinates and Planetary Motion

Partial Derivatives
Surfaces and Level Curves, Partial Derivatives, Tangent Planes and Linear Approximations, Directional Derivatives and Gradients, The Chain Rule, Maxima, Minima, and Saddle Points

Constraints and Lagrange Multipliers
Multiple Integrals, Double Integrals, Changing to Better Coordinates, Triple Integrals, Cylindrical and Spherical Coordinates

Vector Calculus
Vector Fields, Line Integrals, Green's Theorem, Surface Integrals, The Divergence Theorem, Stokes' Theorem and the Curl of F

Mathematics after Calculus
Linear Algebra, Differential Equations, Discrete Mathematics, Study Guide For Chapter 1, Answers to Odd-Numbered Problems

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SHORTCUT TRICKS (Prime Number)

Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?

Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?

Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?

Worksheets (Solved)

Matrix Logarithm

Trigonometric Identities

Application of Trigonometry

Integration